Time bar (total: 5.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 25% | 25% | 0% | 3 |
| 50% | 25% | 25% | 0% | 25% | 25% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 25% | 25% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 25% | 25% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 25% | 25% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 25% | 25% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 25% | 25% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 25% | 25% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 25% | 25% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 25% | 25% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 2.4s | 4161× | body | 1024 | valid |
| 578.0ms | 2062× | body | 512 | valid |
| 349.0ms | 1599× | body | 256 | valid |
| 338.0ms | 434× | body | 2048 | valid |
| 0.0ms | 2× | body | 256 | invalid |
| 2× | egg-herbie |
| 1228× | distribute-lft-in |
| 1176× | fma-def |
| 854× | distribute-rgt-in |
| 780× | associate--l- |
| 690× | associate--r- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 22 | 25 |
| 2 | 30 | 25 |
| 3 | 46 | 25 |
| 4 | 74 | 25 |
| 5 | 105 | 25 |
| 6 | 156 | 25 |
| 7 | 288 | 25 |
| 8 | 651 | 25 |
| 9 | 1305 | 25 |
| 10 | 2093 | 25 |
| 11 | 2595 | 25 |
| 12 | 2780 | 25 |
| 13 | 2945 | 25 |
| 14 | 3357 | 25 |
| 15 | 4345 | 25 |
| 16 | 6247 | 25 |
| 17 | 6886 | 25 |
| 18 | 7199 | 25 |
| 19 | 7327 | 25 |
| 20 | 7449 | 25 |
| 21 | 7543 | 25 |
| 22 | 7951 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 1228× | distribute-lft-in |
| 1176× | fma-def |
| 854× | distribute-rgt-in |
| 780× | associate--l- |
| 690× | associate--r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 22 | 25 |
| 2 | 30 | 25 |
| 3 | 46 | 25 |
| 4 | 74 | 25 |
| 5 | 105 | 25 |
| 6 | 156 | 25 |
| 7 | 288 | 25 |
| 8 | 651 | 25 |
| 9 | 1305 | 25 |
| 10 | 2093 | 25 |
| 11 | 2595 | 25 |
| 12 | 2780 | 25 |
| 13 | 2945 | 25 |
| 14 | 3357 | 25 |
| 15 | 4345 | 25 |
| 16 | 6247 | 25 |
| 17 | 6886 | 25 |
| 18 | 7199 | 25 |
| 19 | 7327 | 25 |
| 20 | 7449 | 25 |
| 21 | 7543 | 25 |
| 22 | 7951 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
Compiled 31 to 25 computations (19.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 2 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ▶ | 58.8b | (*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
Compiled 20 to 16 computations (20% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| ✓ | 5.1b | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
Compiled 35 to 26 computations (25.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1632× | associate-*r/ |
| 1294× | associate-/r* |
| 1186× | associate-*l/ |
| 850× | *-commutative |
| 798× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 188 | 38 |
| 2 | 2504 | 38 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3))) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) 1) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 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1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (-.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 1432× | associate-/l* |
| 1010× | associate-*r/ |
| 942× | *-commutative |
| 902× | associate-/r* |
| 802× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 5140 |
| 1 | 990 | 4690 |
| 2 | 3647 | 4686 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 -1 x)))) |
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x)))) |
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 x))) (log1p.f64 x)) |
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x)) |
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (+.f64 -1 x))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (log.f64 (/.f64 -1 (+.f64 -1 x))))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (neg.f64 (log1p.f64 (neg.f64 x))))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (log1p.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 (+.f64 -1 x))))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 x))) (log.f64 (+.f64 -1 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) 1) |
(-.f64 (-.f64 (log1p.f64 x) 0) (log1p.f64 (neg.f64 x))) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x)))) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (-.f64 1 x)))) |
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3))) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) 1) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1) |
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 -1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))) |
(*.f64 (/.f64 -1 (+.f64 -1 x)) (+.f64 1 x)) |
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 -1 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 2)) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 1 x) 2)) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 -1 x)) |
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)) |
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (-.f64 1 (-.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x))) |
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))) |
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))) |
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (log.f64 -1) (/.f64 2 x)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (/.f64 2 x)) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (log.f64 -1) (/.f64 2 x)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (/.f64 2 x)) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))) |
1 |
(+.f64 (*.f64 2 x) 1) |
(fma.f64 2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)) |
(+.f64 1 (*.f64 2 (fma.f64 x x x))) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))) |
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(-.f64 -1 (/.f64 2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(-.f64 -1 (/.f64 2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0) |
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 -1 x)))) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 x -1)))) |
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x))))) |
(+.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (/.f64 -1 (+.f64 x -1)))) |
(+.f64 (log.f64 (/.f64 -1 (+.f64 x -1))) (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x)))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x)))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x))))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1)))) (log.f64 (/.f64 -1 (+.f64 x -1)))) |
(+.f64 (log.f64 (/.f64 -1 (+.f64 x -1))) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x)))) |
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x)))) |
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 x))) (log1p.f64 x)) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 x -1)))) |
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 1 x) 2)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2)) |
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2)) |
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2)) |
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 -1 x)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2)) |
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2)) |
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2)) |
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (-.f64 1 (-.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (-.f64 1 x))) (+.f64 (-.f64 1 (*.f64 x x)) x)) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))))) (+.f64 x (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 x (*.f64 x x)))))) (-.f64 (+.f64 x 1) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 x)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (+.f64 x (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 x) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3)))) (+.f64 1 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) (-.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (+.f64 x 1) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(/.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x))) |
(/.f64 (*.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(/.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)) |
(fabs.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (+.f64 x 1) (-.f64 1 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
Compiled 24 to 8 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | inf | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| 1× | batch-egg-rewrite |
| 1404× | add-sqr-sqrt |
| 1388× | *-un-lft-identity |
| 1296× | add-cube-cbrt |
| 1284× | add-cbrt-cube |
| 1270× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 170 | 15 |
| 2 | 2301 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))))))) |
| 1× | egg-herbie |
| 746× | *-commutative |
| 656× | distribute-lft-in |
| 612× | distribute-lft-out |
| 588× | div-sub |
| 538× | distribute-lft-out-- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 640 |
| 1 | 349 | 628 |
| 2 | 782 | 628 |
| 3 | 2579 | 628 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))) |
(*.f64 -1 (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(log.f64 -1) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))) |
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1)) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)) |
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))) |
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) |
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x))) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))) |
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))) |
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) |
(*.f64 -1 (log.f64 -1)) |
(neg.f64 (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -1 (log.f64 -1) (/.f64 2 x)) |
(-.f64 (/.f64 2 x) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1 (log.f64 -1) (/.f64 2 x)) |
(-.f64 (/.f64 2 x) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))) |
(log.f64 -1) |
(neg.f64 (log.f64 -1)) |
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -1 (log.f64 -1) (/.f64 2 x)) |
(-.f64 (/.f64 2 x) (log.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) |
(fma.f64 -1 (log.f64 -1) (/.f64 2 x)) |
(-.f64 (/.f64 2 x) (log.f64 -1)) |
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))) |
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1)) |
(neg.f64 (log.f64 -1)) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)) |
(neg.f64 (log.f64 -1)) |
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(neg.f64 (log.f64 -1)) |
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)) |
(neg.f64 (log.f64 -1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))) |
(neg.f64 (log.f64 -1)) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))) |
(neg.f64 (log.f64 -1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))) |
(neg.f64 (log.f64 -1)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) |
(neg.f64 (log.f64 -1)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) |
(neg.f64 (log.f64 -1)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))) |
(neg.f64 (log.f64 -1)) |
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(neg.f64 (log.f64 -1)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) |
(neg.f64 (log.f64 -1)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3) |
(neg.f64 (log.f64 -1)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3) |
(neg.f64 (log.f64 -1)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) |
(neg.f64 (log.f64 -1)) |
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1))) |
(neg.f64 (log.f64 -1)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3)) |
(neg.f64 (log.f64 -1)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)) |
(neg.f64 (log.f64 -1)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) |
(neg.f64 (log.f64 -1)) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) |
(neg.f64 (log.f64 -1)) |
Compiled 4912 to 3274 computations (33.3% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 3 | 284 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 281 | 5 | 286 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ▶ | 0.2b | (*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))) |
| ▶ | 0.5b | (*.f64 1/2 (*.f64 2 x)) |
| ▶ | 58.8b | (*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 58.8b | (*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
Compiled 50 to 41 computations (18% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| ✓ | 5.1b | (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
Compiled 45 to 34 computations (24.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1538× | associate-/r* |
| 1472× | associate-*l/ |
| 1052× | associate-/l* |
| 922× | associate-/r/ |
| 880× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 190 | 38 |
| 2 | 2580 | 38 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
| Outputs |
|---|
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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 -1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 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pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) |
| 1× | egg-herbie |
| 1372× | associate-/l* |
| 1066× | associate-/r* |
| 1056× | associate-*r/ |
| 872× | associate-*l/ |
| 864× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 5573 |
| 1 | 1014 | 4943 |
| 2 | 3885 | 4935 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) |
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))) |
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2/7 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0) |
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 (-.f64 -1 x)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))) |
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log1p.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) (log1p.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x))) |
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(-.f64 0 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 (-.f64 -1 x))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (neg.f64 (log1p.f64 x)))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (log1p.f64 x))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (+.f64 (log1p.f64 x) (log1p.f64 x))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1) |
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 x))) (log.f64 (-.f64 -1 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 1) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) 0) (log1p.f64 x)) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x)))) |
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 x))) (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 x))) 1) (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) |
(pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(+.f64 (/.f64 -1 (-.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 1 x)))) |
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 -1 (-.f64 -1 x))) |
(-.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 x (+.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1) |
(*.f64 1 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(*.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x))) |
(*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x)) |
(*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) |
(*.f64 (+.f64 -1 x) (/.f64 1 (-.f64 -1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x)) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (-.f64 (+.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
| Outputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))) |
(fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3))) |
(fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x)) |
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))) |
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))) |
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))) |
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2/7 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))) |
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3))))) |
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x)))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(-.f64 (log.f64 -1) (/.f64 2 x)) |
(+.f64 (log.f64 -1) (/.f64 -2 x)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x)) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 x)) (/.f64 2/3 (pow.f64 x 3))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))) |
(log.f64 -1) |
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))) |
(-.f64 (log.f64 -1) (/.f64 2 x)) |
(+.f64 (log.f64 -1) (/.f64 -2 x)) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) |
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x)) |
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 x)) (/.f64 2/3 (pow.f64 x 3))) |
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5)))))) |
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))) |
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 -2 x) 1) |
(fma.f64 -2 x 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(fma.f64 2 (*.f64 x x) (+.f64 (*.f64 -2 x) 1)) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1)) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 -1 (/.f64 2 (*.f64 x x))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(+.f64 -1 (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x)))) |
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 -1 (/.f64 2 (*.f64 x x))))) |
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0) |
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 (-.f64 -1 x)))) |
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))) |
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x)))) (+.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) (log.f64 (cbrt.f64 (-.f64 1 x))))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (neg.f64 (log1p.f64 x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x)))) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log1p.f64 x))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log1p.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log1p.f64 x))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 x)))) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log1p.f64 x))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log1p.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) (log.f64 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x))) |
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x))) |
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x)))) (log1p.f64 x)) |
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(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))) |
(/.f64 (-.f64 1 x) (+.f64 x 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))) |
(/.f64 (-.f64 1 x) (+.f64 x 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1)) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))) |
(/.f64 (-.f64 1 x) (+.f64 x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(/.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))) |
(/.f64 (-.f64 1 x) (+.f64 x 1)) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))) |
(/.f64 (-.f64 1 x) (+.f64 x 1)) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x)) |
(/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) (neg.f64 (-.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x -1) (-.f64 1 x)) (fma.f64 x x -1)) |
(*.f64 (+.f64 x -1) (/.f64 (-.f64 1 x) (fma.f64 x x -1))) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 (pow.f64 x 3) 1))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 (pow.f64 x 3)))) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) |
(/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) (neg.f64 (-.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x -1) (-.f64 1 x)) (fma.f64 x x -1)) |
(*.f64 (+.f64 x -1) (/.f64 (-.f64 1 x) (fma.f64 x x -1))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1))))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) (neg.f64 (-.f64 1 (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x -1) (-.f64 1 x)) (fma.f64 x x -1)) |
(*.f64 (+.f64 x -1) (/.f64 (-.f64 1 x) (fma.f64 x x -1))) |
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 (pow.f64 x 3) 1))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 (pow.f64 x 3)))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))) (-.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 -1 x))) (-.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (-.f64 -1 x)) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (-.f64 (+.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) 3)) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (-.f64 -1 x)) (/.f64 (+.f64 1 (pow.f64 (fma.f64 x x x) 3)) (-.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) 1) (fma.f64 x x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) (hypot.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (-.f64 x (-.f64 (fma.f64 x x x) 1)) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1))))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (pow.f64 x 3) 1)) (-.f64 x (+.f64 x (fma.f64 x x -1)))))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2)) |
(*.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (/.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x)))) |
(/.f64 (-.f64 x (-.f64 (fma.f64 x x x) 1)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))) |
(/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (-.f64 x (+.f64 x (fma.f64 x x -1))))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(/.f64 (*.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 x (-.f64 (fma.f64 x x x) 1)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))) |
(/.f64 (-.f64 x (+.f64 x (fma.f64 x x -1))) (/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (+.f64 (-.f64 1 x) (*.f64 x x))) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 x 1))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (-.f64 x (-.f64 (fma.f64 x x x) 1)) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 x 1)))) |
(/.f64 (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 x (+.f64 x (fma.f64 x x -1)))) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 x 1))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 (*.f64 x x)))) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (*.f64 (-.f64 1 x) (-.f64 x (-.f64 (fma.f64 x x x) 1))) (*.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 (*.f64 x x))))) |
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 x (+.f64 x (fma.f64 x x -1))))) (-.f64 1 (*.f64 x x)))) |
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 3) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3) 1/3) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2)) |
(fabs.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
Compiled 12 to 9 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 2/3 (pow.f64 x 3)) |
Compiled 37 to 29 computations (21.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 2/3 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 2/3 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 2/3 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 1236× | add-sqr-sqrt |
| 1204× | *-un-lft-identity |
| 1142× | add-cube-cbrt |
| 1134× | add-cbrt-cube |
| 1118× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 149 | 13 |
| 2 | 1595 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1084× | distribute-rgt-in |
| 1068× | distribute-lft-in |
| 944× | associate-*l/ |
| 896× | associate-*r/ |
| 890× | log-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 275 |
| 1 | 98 | 209 |
| 2 | 326 | 143 |
| 3 | 1684 | 143 |
| 4 | 6914 | 143 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) |
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2) |
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3) |
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9)) |
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9)) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3)) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
Compiled 5183 to 3690 computations (28.8% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 1 | 268 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 267 | 6 | 273 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ▶ | 0.3b | (*.f64 1/2 (+.f64 (*.f64 2 x) (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) |
| ✓ | 0.2b | (*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))) |
| ✓ | 0.5b | (*.f64 1/2 (*.f64 2 x)) |
| ✓ | 58.8b | (*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 58.8b | (*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
Compiled 66 to 55 computations (16.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 2/3 (pow.f64 x 3)) | |
| ✓ | 1.9b | (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
Compiled 62 to 52 computations (16.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
| 0.0ms | x | @ | 0 | (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
| 0.0ms | x | @ | -inf | (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
| 1× | batch-egg-rewrite |
| 1960× | add-sqr-sqrt |
| 1926× | *-un-lft-identity |
| 1824× | add-cube-cbrt |
| 1814× | add-cbrt-cube |
| 206× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 226 | 13 |
| 2 | 2782 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) (/.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) (*.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 (*.f64 x (cbrt.f64 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)) (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))) (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) 1) (-.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1)) (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1))))) |
| 1× | egg-herbie |
| 1802× | associate-/r* |
| 1050× | associate-*r* |
| 912× | associate-*l* |
| 616× | associate--r+ |
| 584× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1491 |
| 1 | 276 | 1447 |
| 2 | 864 | 1369 |
| 3 | 4036 | 1369 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(-.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1) |
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) (/.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(*.f64 1 (*.f64 2/3 (pow.f64 x 3))) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 x (*.f64 (*.f64 x x) 2/3)) |
(*.f64 (pow.f64 x 3) 2/3) |
(*.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(*.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) (sqrt.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) (*.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) 1)) |
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3)) |
(*.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3))) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 (*.f64 x (cbrt.f64 2/3)) 1)) |
(*.f64 (*.f64 x x) (*.f64 x 2/3)) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(*.f64 (*.f64 2/3 x) (*.f64 x x)) |
(*.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2)) |
(*.f64 (*.f64 2/3 (*.f64 x x)) x) |
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)) (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))) (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) 1) (-.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)) |
(/.f64 (-.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1)) (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(pow.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) 2) |
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9)) |
(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1) 1) |
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1) |
| Outputs |
|---|
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(-.f64 (*.f64 2/3 (pow.f64 x 3)) 0) |
(*.f64 2/3 (pow.f64 x 3)) |
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) (/.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (fma.f64 2/3 (pow.f64 x 3) -2)) |
(*.f64 1 (*.f64 2/3 (pow.f64 x 3))) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 x (*.f64 (*.f64 x x) 2/3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) 2/3) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) (sqrt.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) (*.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) 1)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3))) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 (*.f64 x (cbrt.f64 2/3)) 1)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (*.f64 x x) (*.f64 x 2/3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (fma.f64 2/3 (pow.f64 x 3) -2)) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) -2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -2)))) |
(*.f64 (*.f64 2/3 x) (*.f64 x x)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 (*.f64 2/3 (*.f64 x x)) x) |
(*.f64 2/3 (pow.f64 x 3)) |
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)) (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (fma.f64 2/3 (pow.f64 x 3) -2)) |
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))) (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) -2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (fma.f64 2/3 (pow.f64 x 3) -2)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) -2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) -2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -2)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) 1) (-.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (fma.f64 2/3 (pow.f64 x 3) -2)) |
(/.f64 (-.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 1)) |
(/.f64 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1) -1) (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1))) |
(/.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) (/.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) (*.f64 2/3 (pow.f64 x 3)))) |
(/.f64 (*.f64 (*.f64 2/3 (pow.f64 x 3)) (fma.f64 2/3 (pow.f64 x 3) 2)) (fma.f64 2/3 (pow.f64 x 3) 2)) |
(/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (/.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 2/3 (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1)) (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1) (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 2)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2)) (fma.f64 2/3 (pow.f64 x 3) -2)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (fma.f64 2/3 (pow.f64 x 3) -1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) -2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -2)))) |
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (sqrt.f64 (*.f64 2/3 (pow.f64 x 3))) 2) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9)) |
(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))) |
(*.f64 2/3 (pow.f64 x 3)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1)) |
(*.f64 2/3 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) -1)) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
Compiled 1427 to 1226 computations (14.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 1 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 69 | 6 | 75 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.3b | (*.f64 1/2 (+.f64 (*.f64 2 x) (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) |
| ▶ | 0.2b | (*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
| ✓ | 0.5b | (*.f64 1/2 (*.f64 2 x)) |
| ✓ | 58.8b | (*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 58.8b | (*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
Compiled 68 to 55 computations (19.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 x x) (*.f64 x 2/3)) |
| ✓ | 0.3b | (*.f64 x 2/3) |
Compiled 45 to 26 computations (42.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x 2/3) |
| 0.0ms | x | @ | inf | (*.f64 x 2/3) |
| 0.0ms | x | @ | -inf | (*.f64 x 2/3) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (*.f64 x 2/3)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (*.f64 x 2/3)) |
| 1× | batch-egg-rewrite |
| 1294× | add-sqr-sqrt |
| 1274× | *-un-lft-identity |
| 1188× | add-cube-cbrt |
| 1172× | add-cbrt-cube |
| 1160× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 26 |
| 1 | 143 | 20 |
| 2 | 1698 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 2/3) |
(*.f64 (*.f64 x x) (*.f64 x 2/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x 2/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1674× | log-prod |
| 1212× | associate-*r* |
| 1030× | associate-*l* |
| 932× | associate-+r+ |
| 906× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 460 |
| 1 | 145 | 460 |
| 2 | 538 | 460 |
| 3 | 3371 | 460 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1) |
(pow.f64 (*.f64 x 2/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2)) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) |
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x 2/3))) 2) |
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3) |
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 4/9)) |
(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) |
| Outputs |
|---|
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 x) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1) |
(*.f64 2/3 x) |
(pow.f64 (*.f64 x 2/3) 1) |
(*.f64 2/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2) |
(*.f64 2/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) |
(*.f64 2/3 x) |
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3) |
(*.f64 2/3 x) |
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2)) |
(*.f64 2/3 x) |
(log.f64 (pow.f64 (exp.f64 2/3) x)) |
(*.f64 2/3 x) |
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3)) |
(*.f64 2/3 x) |
(expm1.f64 (log1p.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(exp.f64 (log.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 2/3))) |
(*.f64 2/3 x) |
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x 2/3))) 2) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3) |
(*.f64 2/3 (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3) |
(*.f64 2/3 (pow.f64 x 3)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 4/9)) |
(*.f64 2/3 (pow.f64 x 3)) |
(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3)) |
(*.f64 2/3 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 2/3 (pow.f64 x 3)) |
Compiled 347 to 261 computations (24.8% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 0 | 24 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 24 | 6 | 30 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| ✓ | 0.3b | (*.f64 1/2 (+.f64 (*.f64 2 x) (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) |
| ✓ | 0.2b | (*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
| ✓ | 0.5b | (*.f64 1/2 (*.f64 2 x)) |
| ✓ | 58.8b | (*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 58.8b | (*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
Compiled 68 to 55 computations (19.1% saved)
| Inputs |
|---|
(*.f64 1/2 (*.f64 2 x)) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) |
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
4 calls:
| 5.0ms | x |
| 2.0ms | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 2.0ms | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 2.0ms | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 0.0b | 1 | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.0b | 1 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
Compiled 118 to 94 computations (20.3% saved)
Total -59.0b remaining (-31638.6%)
Threshold costs -59.0b (-31638.6%)
| Inputs |
|---|
(*.f64 1/2 (*.f64 2 x)) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))) |
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
4 calls:
| 5.0ms | x |
| 2.0ms | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 2.0ms | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 2.0ms | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
| 0.2b | 1 | (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
| 0.2b | 1 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
Compiled 110 to 88 computations (20% saved)
| 1× | egg-herbie |
| 16× | *-commutative |
| 8× | +-commutative |
| 6× | sub-neg |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 75 |
| 1 | 32 | 75 |
| 2 | 37 | 75 |
| 3 | 40 | 75 |
| 4 | 41 | 75 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
(*.f64 1/2 (*.f64 2 x)) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
(*.f64 1/2 (+.f64 (*.f64 x 2) (*.f64 (*.f64 x x) (*.f64 x 2/3)))) |
(*.f64 1/2 (*.f64 2 x)) |
(*.f64 1/2 (*.f64 x 2)) |
Compiled 29 to 22 computations (24.1% saved)
| 1× | egg-herbie |
| 1228× | distribute-lft-in |
| 1176× | fma-def |
| 854× | distribute-rgt-in |
| 780× | associate--l- |
| 690× | associate--r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 22 | 25 |
| 2 | 30 | 25 |
| 3 | 46 | 25 |
| 4 | 74 | 25 |
| 5 | 105 | 25 |
| 6 | 156 | 25 |
| 7 | 288 | 25 |
| 8 | 651 | 25 |
| 9 | 1305 | 25 |
| 10 | 2093 | 25 |
| 11 | 2595 | 25 |
| 12 | 2780 | 25 |
| 13 | 2945 | 25 |
| 14 | 3357 | 25 |
| 15 | 4345 | 25 |
| 16 | 6247 | 25 |
| 17 | 6886 | 25 |
| 18 | 7199 | 25 |
| 19 | 7327 | 25 |
| 20 | 7449 | 25 |
| 21 | 7543 | 25 |
| 22 | 7951 | 25 |
| 1× | node limit |
Compiled 115 to 92 computations (20% saved)
Compiled 27 to 20 computations (25.9% saved)
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